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Finding the Fourth Proportional to 519,460.12, 778,599.60 and 219,753.64

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Solution

The fourth proportional to 519,460.12, 778,599.60 and 219,753.64 is: 329,380.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,460.12 : 778,599.60 = 219,753.64 : x
  2. Step 2: Convert to fraction form
    519,460.12/778,599.60 = 219,753.64/x
  3. Step 3: Cross multiply
    519,460.12x = 778,599.60 × 219,753.64
  4. Step 4: Simplify right side
    519,460.12x = 171,100,096,202.54
  5. Step 5: Solve for x
    x = 171,100,096,202.54/519,460.12
  6. Step 6: Final answer
    x = 329,380.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.